Pith Number

pith:XQAONB6M

pith:2009:XQAONB6MSFR6KUH6MTZGHRD5XG

not attested not anchored not stored refs pending

Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function

A. Ghanmi, A. Intissar, Y. Hantout

arxiv:0909.3597 v2 · 2009-09-19 · math.CV · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQAONB6MSFR6KUH6MTZGHRD5XG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:19:36.672547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc00e687cc9163e550fe64f263c47db9a684887a1468e45fa7de63794298e9ad

Aliases

arxiv: 0909.3597 · arxiv_version: 0909.3597v2 · doi: 10.48550/arxiv.0909.3597 · pith_short_12: XQAONB6MSFR6 · pith_short_16: XQAONB6MSFR6KUH6 · pith_short_8: XQAONB6M

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XQAONB6MSFR6KUH6MTZGHRD5XG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bc00e687cc9163e550fe64f263c47db9a684887a1468e45fa7de63794298e9ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0c8f7ab526b4e481be274426b83313a8d2f5c67057045b106974b68eccc701",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-09-19T17:07:07Z",
    "title_canon_sha256": "eb12d7e4266ac6f706a96f15a304e2ba7372292c37e1d2006d12d90a1c33825f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3597",
    "kind": "arxiv",
    "version": 2
  }
}